On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions
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Publication:2036624
DOI10.1007/s00205-021-01648-1OpenAlexW3159416550MaRDI QIDQ2036624
Matias G. Delgadino, Grigorios A. Pavliotis, Rishabh S. Gvalani
Publication date: 30 June 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.03920
Existence theories in calculus of variations and optimal control (49Jxx) Parabolic equations and parabolic systems (35Kxx) Classical measure theory (28Axx) Calculus of variations and optimal control; optimization (49-XX) Nonlinear operators and their properties (47Hxx)
Related Items (13)
Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions ⋮ Eigenfunction Martingale Estimators for Interacting Particle Systems and Their Mean Field Limit ⋮ Rate of homogenization for fully-coupled McKean–Vlasov SDEs ⋮ Small noise asymptotics of multi-scale McKean-Vlasov stochastic dynamical systems ⋮ Central limit type theorem and large deviation principle for multi-scale McKean-Vlasov SDEs ⋮ Functional law of large numbers and central limit theorem for slow-fast McKean-Vlasov equations ⋮ Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions ⋮ Existence and non-uniqueness of stationary distributions for distribution dependent SDEs ⋮ Poisson Equation on Wasserstein Space and Diffusion Approximations for Multiscale McKean–Vlasov Equation ⋮ Brownian motion in an \(N\)-scale periodic potential ⋮ Response theory and phase transitions for the thermodynamic limit of interacting identical systems ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications ⋮ Large deviations for interacting multiscale particle systems
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